Find an equation for the tangent plane to the surface 2³-xy¹ = 0 at the point (1,3,1). 81

Q: Find the equation of the tangent plane to the surface z = 4x² + 7y² + 9xy at the point (1, -2, 14).…

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Q: Find the equation of the tangent plane to the surface 2= 42 + 3y+7zy at the point (0,-1,3).

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Q: Find the slope of the tangent in the positive x-direction to the surface z = 3x - 6xy at the point…

A: We have to find the partial derivative with respect to x

Q: Find the tangent plane to the equation z = 2x² 2= 56x-430y + 1554 X 2x²2y² + 4y at the point (3, 4,…

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Q: Find the equation of the tangent plane to x2 the surface z = 4 + y? at the point (2, –2, 5)

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Q: Find the equation of the tangent line to the common curve of the two surfaces with equations z = x²…

A: Please check step 2 for solution.

Q: Find the slope of the tangent in the positive x-direction to the surface z = 3x3 - 7xy at the point…

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Q: Find the slope of the tangent line to the curves cut from the surface z= 3x? +4y? -6 by planes…

A: The solution are next step

Q: Find the tangent plane to the equation z 20 5e at the point (4,8,5)

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Q: Find the tangent plane to the equation z = 6e" -20 at the point (4, 8, 6)

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Q: Find an equation of the tangent plane to the surface z = 2y² – 3x² at the point (-3, -3, -9).

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Q: Tangent to the parabola z = x2 + 3y2 , x = 1 , at point ( 1 , 2, 13 )

A: Given: Tangent to the parabola z = x2 + 3y2 , x = 1 . at point (1,2,13)